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Finding the Fourth Proportional to 83,241.96, 114,841.63 and 53,021.87

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Solution

The fourth proportional to 83,241.96, 114,841.63 and 53,021.87 is: 73,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,241.96 : 114,841.63 = 53,021.87 : x
  2. Step 2: Convert to fraction form
    83,241.96/114,841.63 = 53,021.87/x
  3. Step 3: Cross multiply
    83,241.96x = 114,841.63 × 53,021.87
  4. Step 4: Simplify right side
    83,241.96x = 6,089,117,976.45
  5. Step 5: Solve for x
    x = 6,089,117,976.45/83,241.96
  6. Step 6: Final answer
    x = 73,149.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.